Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Émery Ricci curvature

Details Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Émery Ricci curvature Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Émery Ricci curvature

2007-07-04

arxiv.org/abs/0707.0526v2

Mathematics

Differential Geometry

14 pages

Scientific paper

In this paper, we prove two generalized versions of the Cheeger-Gromoll
splitting theorem via the non-negativity of the Bakry-\'Emery Ricci curavture
on complete Riemannian manifolds.

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